Task systems are mathematical objects used to model the set of possible configurations of online algorithms. They were introduced by Borodin, Linial and Saks (1992) to model a variety of online problems. A task system determines a set of states and costs to change states. Task systems obtain as input a sequence of requests such that each request assigns processing times to the states. The objective of an online algorithm for task systems is to create a schedule that minimizes the overall cost incurred due to processing the tasks with respect to the states and due to the cost to change states.
If the cost function to change states is a metric, the task system is a metrical task system (MTS). This is the most common type of task systems.
Metrical task systems generalize online problems such as paging, list accessing, and the k-server problem (in finite spaces).
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states is a metric, the tasksystem is a metricaltasksystem (MTS). This is the most common type of tasksystems. Metricaltasksystems generalize online problems...
of MTS MTS Turkmenistan Metre–tonne–second system of units, a system of physical units Metricaltasksystem, mathematical objects used in the context of...
competitive analysis of online algorithms studies metricaltasksystems, a very general model of tasks where decisions on how to service a sequence of requests...
Grothendieck inequality, applications of this inequality, and research on metricaltasksystems. Naor won the Bergmann award of the United States – Israel Binational...
Jackson, Lowis D'Aguilar (1882). Modern metrology; a manual of the metrical units and systems of the present century (1882). London: C Lockwood and co. p. 11...
US spelling; symbol: m) is the base unit of length in the International System of Units (SI). Since 2019, the metre has been defined as the length of the...
Liberation Mono. These fonts are metrically compatible with the most popular fonts on the Microsoft Windows operating system and the Microsoft Office software...
the placement of word stress, determined by metrical rules that define a characteristic iambic metrical foot, in which a weak syllable is followed by...
overtly where it might be ambiguous (rébel vs. rebél) or nonstandard for metrical reasons (caléndar); the grave to indicate that an ordinarily silent or...
subject of musical meter". Indian music is composed and performed in a metrical framework, a structure of beats that is a tala. A tala measures musical...
human wife goes after him. Professor Damiana Eugenio located a Philippine metrical romance with the theme of the animal bridegroom, the wife's betrayal and...
which feeds information to the place cells in the hippocampus, fire in a metrically regular way across the whole surface of a given environment. The activity...
storyline found in the Syriac Alexander Legend (and the slightly later metrical homily or Alexander poem) "would most likely have been current orally well...
through the constant juxtaposition of many such images within a strict metrical framework, allowing numerous potential meanings to emerge. The vast majority...
ultimately cannot face the emptiness outside and inside. The poems are metrical and mostly rhymed, using both traditional and individual forms, several...
poetry, sometimes owing to the alteration of the natural order of words for metrical reasons. Eduardum occidere nolite timere bonum est. — Edward II by Christopher...
Robert H. (eds.). Christian Theology: An Introduction to Its Traditions and Tasks. Minneapolis, Minnesota: Fortress Press. Furcha, E. J., ed. (1985), Huldrych...
meters these slots retain their identities of odd = "not metrically prominent" and even = "metrically prominent", so that (for example) trochaic tetrameter...
musical undulation. The dominant motif is the linear cadence, linked to the metrical aspect, as in the very fine veils of the Graces, with their supple volumes...
fishmonger. After he organizes his slaves and assigns them all specific tasks for the day, he calls his four courtesans out of the house. He orders them...
hymnal Swenske songer Thomissøn's hymnal Ausbund Book of Common Prayer Metrical psalters Souterliedekens Book of Common Order Genevan Psalter Scottish...
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